Normal ordering associated with λ-Stirling numbers in λ-shift algebra

• Autorzy: Kim Taekyun , Kim Dae San , Kim Hye Kyung

Identyfikatory

DOI

10.1515/dema-2022-0250

• Języki publikacji: EN

Abstrakty

EN

It is known that the Stirling numbers of the second kind are related to normal ordering in the Weyl algebra, while the unsigned Stirling numbers of the first kind are related to normal ordering in the shift algebra. Recently, Kim-Kim introduced a λ-analogue of the unsigned Stirling numbers of the first kind and that of the r-Stirling numbers of the first kind. In this article, we introduce a λ-analogue of the shift algebra (called λ-shift algebra) and investigate normal ordering in the λ-shift algebra. From the normal ordering in the λ-shift algebra, we derive some identities about the λ-analogue of the unsigned Stirling numbers of the first kind.

Słowa kluczowe

EN

λ-shift algebra; normal ordering; unsigned λ-Stirling numbers of the first kind; λ-r-Stirling numbers of the first kind

PL

algebra przesunięć; porządkowanie normalne; liczby Stirlinga pierwszego rodzaju

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2023
• Tom: Vol. 56, nr 1
• Strony: art. no. 20220250
• Opis fizyczny: Bibliogr. 25 poz.

Twórcy

autor

Kim Taekyun

• Department of Mathematics, Kwangwoon University, Seoul 139-701, Republic of Korea

autor

Kim Dae San

• Department of Mathematics, Sogang University, Seoul 121-742, Republic of Korea

autor

Kim Hye Kyung

• Department of Mathematics Education, Daegu Catholic University, Gyeongsan 38430, Republic of Korea

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).